Oblicz stosunek Ep do Ek, ciała drgającego ruchem harmonicznym dla wychylenia x=1/3 a.
Ep=1/2kx^2
Ek=1/2Kx0^2-1/2kx^2
x0=a
x=1/3a
Ep/Ek=(1/2kx^2)/1/(2kx0^2-1/2kx^2)=(x^2)/(x0^2-x^2)=(1/3a^2)/(a^2-1/3a^2)=
(1/9a^2)/(a^2-1/9a^2)=(1/9)/(8/9)=1/9*9/8=1/8
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Ep=1/2kx^2
Ek=1/2Kx0^2-1/2kx^2
x0=a
x=1/3a
Ep/Ek=(1/2kx^2)/1/(2kx0^2-1/2kx^2)=(x^2)/(x0^2-x^2)=(1/3a^2)/(a^2-1/3a^2)=
(1/9a^2)/(a^2-1/9a^2)=(1/9)/(8/9)=1/9*9/8=1/8